Question

Write a proportion to determine the missing measure.

A lighthouse casts a 72-yard shadow at the same time as a 32-foot tall billboard casts a 19-foot shadow.
What is the height of the lighthouse?



A 121.3 yd
B 64.8 yd
C 42.8 yd
D 118.4 ft

Answer 1

Explanation:

First, we need to make sure that we are comparing the units in the same system, either yards or feet. Let's convert 32 feet to yards:

32 feet * 1 yard/3 feet = 10.67 yards

Now we have:

Lighthouse height / Lighthouse shadow = Billboard height / Billboard shadow

Let x be the height of the lighthouse in yards.

x / 72 yards = 10.67 yards / 19 feet

We can simplify the equation by converting everything to yards:

x / 72 = 10.67 / 3.28

x / 72 = 3.25

To solve for x, we can cross-multiply:

x = 72 * 3.25

x = 234

Therefore, the height of the lighthouse is 234 yards.

Answer: A) 121.3 yd.

Answer 2

the height of the lighthouse is 121.3 yards.